English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

Construct a triangle XYZ with the given conditions. BC = 8 cm, AC = 6 cm and ∠C = 40°

Advertisements
Advertisements

Question

Construct a triangle XYZ with the given conditions.

BC = 8 cm, AC = 6 cm and ∠C = 40°

Diagram
Advertisements

Solution



Construction:

Step 1: Drawn a line. Marked B and C on the line such that BC = 8 cm.

Step 2: At C, drawn a ray CY making an angle of 40° with BC.

Step 3: With C as centre, drawn an arc of radius 6 cm to cut the ray CY, marked the point of intersection as A.

Step 4: Joined AB.

AB is the required triangle.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.2 [Page 85]

APPEARS IN

Samacheer Kalvi Mathematics - Term 2 [English] Class 7 TN Board
Chapter 4 Geometry
Exercise 4.2 | Q 7. II. (ii) | Page 85

RELATED QUESTIONS

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.


Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.


In Fig,

AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.


State whether the two triangles are congruent or not. Justify your answer


For the given pair of triangles state the criterion that can be used to determine the congruency?


Construct a triangle PQR with given conditions.

∠P = 115°, ∠Q = 40° and PQ = 6 cm


Construct a triangle PQR with given conditions.

∠Q = 90°, ∠R = 42° and QR = 5.5 cm


In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm

∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×